Abstract
The reheating era of inflationary universe can be parameterized by various parameters like reheating temperature \(T_{\text {re}}\), reheating duration \(N_{\text {re}}\) and average equation of state parameter \({\overline{\omega }}_{\text {re}}\), which can be constrained by observationally feasible values of scalar power spectral amplitude \(A_{\text {s}}\) and spectral index \(n_{\text {s}}\). In this work, by considering the quadratic chaotic inflationary potential with logarithmic correction in mass, we examine the reheating era in order to place some limits on model’s parameter space. By investigating the reheating epoch using Planck 2018+BK18+BAO data, we show that even a small correction can make the quadratic chaotic model consistent with latest cosmological observations. We also find that the study of reheating era helps to put much tighter constraints on model and effectively improves accuracy of model.
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References
A.H. Guth, Phys. Rev. D 23(2), 347 (1981). https://doi.org/10.1103/PhysRevD.23.347
A. Starobinsky, Phys. Lett. B 91(1), 99 (1980). https://doi.org/10.1016/0370-2693(80)90670-X
A. Linde, Phys. Lett. B 108(6), 389 (1982). https://doi.org/10.1016/0370-2693(82)91219-9
A. Linde, Phys. Lett. B 129(3–4), 177 (1983). https://doi.org/10.1016/0370-2693(83)90837-7
A. Riotto, (2002). https://doi.org/10.48550/ARXIV.HEP-PH/0210162
V.F. Mukhanov, G.V. Chibisov, ZhETF Pisma Redaktsiiu 33, 549 (1981)
A. Starobinsky, Phys. Lett. B 117(3–4), 175 (1982). https://doi.org/10.1016/0370-2693(82)90541-X
A.H. Guth, S.Y. Pi, Phys. Rev. D 32(8), 1899 (1985). https://doi.org/10.1103/PhysRevD.32.1899
G.F. Smoot, C.L. Bennett, A. Kogut et al., Astrophys. J. 396, L1 (1992). https://doi.org/10.1086/186504
J. Dunkley, E. Komatsu, M.R. Nolta et al., Astrophys. J. Suppl. Ser. 180(2), 306 (2009). https://doi.org/10.1088/0067-0049/180/2/306
E. Komatsu, K.M. Smith, J. Dunkley et al., Astrophys. J. Suppl. Ser. 192(2), 18 (2011). https://doi.org/10.1088/0067-0049/192/2/18
P.A.R. Ade, N. Aghanim, C. Armitage-Caplan et al., Astron. Astrophys. 571, A16 (2014). https://doi.org/10.1051/0004-6361/201321591
P.A.R. Ade, N. Aghanim, C. Armitage-Caplan et al., Astron. Astrophys. 571, A22 (2014). https://doi.org/10.1051/0004-6361/201321569
P.A.R. Ade, N. Aghanim, M. Arnaud et al., Astron. Astrophys. 594, A13 (2016). https://doi.org/10.1051/0004-6361/201525830
P.A.R. Ade, N. Aghanim, M. Arnaud et al., Astron. Astrophys. 594, A20 (2016). https://doi.org/10.1051/0004-6361/201525898
N. Aghanim, Y. Akrami, M. Ashdown et al., Astron. Astrophys. 641, A6 (2020). https://doi.org/10.1051/0004-6361/201833910
Y. Akrami, F. Arroja, M. Ashdown et al., Astron. Astrophys. 641, A10 (2020). https://doi.org/10.1051/0004-6361/201833887
M.S. Turner, Phys. Rev. D 28(6), 1243 (1983). https://doi.org/10.1103/PhysRevD.28.1243
J.H. Traschen, R.H. Brandenberger, Phys. Rev. D 42(8), 2491 (1990). https://doi.org/10.1103/PhysRevD.42.2491
A. Albrecht, P.J. Steinhardt, M.S. Turner, F. Wilczek, Phys. Rev. Lett. 48(20), 1437 (1982). https://doi.org/10.1103/PhysRevLett.48.1437
L. Kofman, A. Linde, A.A. Starobinsky, Phys. Rev. Lett. 73(24), 3195 (1994). https://doi.org/10.1103/PhysRevLett.73.3195
L. Kofman, A. Linde, A.A. Starobinsky, Phys. Rev. D 56(6), 3258 (1997). https://doi.org/10.1103/PhysRevD.56.3258
M. Drewes, J.U. Kang, Nuclear Phys. B 875(2), 315 (2013). https://doi.org/10.1016/j.nuclphysb.2013.07.009
R. Allahverdi, R. Brandenberger, F.Y. Cyr-Racine, A. Mazumdar, Ann. Rev. Nuclear Part. Sci. 60(1), 27 (2010). https://doi.org/10.1146/annurev.nucl.012809.104511
J. Martin, C. Ringeval, V. Vennin, Phys. Rev. Lett. 114(8), 081303 (2015). https://doi.org/10.1103/PhysRevLett.114.081303
J. Martin, C. Ringeval, Phys. Rev. D 82(2), 023511 (2010). https://doi.org/10.1103/PhysRevD.82.023511
L. Dai, M. Kamionkowski, J. Wang, Phys. Rev. Lett. 113(4), 041302 (2014). https://doi.org/10.1103/PhysRevLett.113.041302
J. Martin, C. Ringeval, J. Cosmol. Astropart. Phys. 2006(08), 009 (2006). https://doi.org/10.1088/1475-7516/2006/08/009
P. Adshead, R. Easther, J. Pritchard, A. Loeb, J. Cosmol. Astropart. Phys. 2011(02), 021 (2011). https://doi.org/10.1088/1475-7516/2011/02/021
J. Mielczarek, Phys. Rev. D 83(2), 023502 (2011). https://doi.org/10.1103/PhysRevD.83.023502
J.L. Cook, E. Dimastrogiovanni, D.A. Easson, L.M. Krauss, J. Cosmol. Astropart. Phys. 2015(04), 047 (2015). https://doi.org/10.1088/1475-7516/2015/04/047
G. Steigman, Ann. Rev. Nuclear Part. Sci. 57(1), 463 (2007). https://doi.org/10.1146/annurev.nucl.56.080805.140437
S. Dodelson, L. Hui, Phys. Rev. Lett. 91(13), 131 (2003). https://doi.org/10.1103/physrevlett.91.131301
A.R. Liddle, S.M. Leach, Phys. Rev. D 68(10), 103 (2003). https://doi.org/10.1103/physrevd.68.103503
J. Martin, C. Ringeval, V. Vennin. Encyclopaedia Inflationaris (2013). https://doi.org/10.48550/ar**v.1303.3787. Ar**v:1303.3787 [astro-ph, physics:gr-qc, physics:hep-ph, physics:hep-th]
V.N. Şenoğuz, Q. Shafi, Phys. Lett. B 668(1), 6 (2008). https://doi.org/10.1016/j.physletb.2008.08.017
K. Enqvist, M. Karčiauskas, J. Cosmol. Astropart. Phys. 2014(02), 034 (2014). https://doi.org/10.1088/1475-7516/2014/02/034
G. Ballesteros, C. Tamarit, J. High Energy Phys. 2016(2), 153 (2016). https://doi.org/10.1007/JHEP02(2016)153
K. Nakayama, F. Takahashi, T.T. Yanagida, Phys. Lett. B 725(1–3), 111 (2013). https://doi.org/10.1016/j.physletb.2013.06.050
K. Nakayama, F. Takahashi, J. Cosmol. Astropart. Phys. 2010(11), 009 (2010). https://doi.org/10.1088/1475-7516/2010/11/009
C. Pallis, Phys. Rev. D 91(12), 123508 (2015). https://doi.org/10.1103/PhysRevD.91.123508
K. Kannike, G. Hütsi, L. Pizza et al., J. High Energy Phys. 2015(5), 65 (2015). https://doi.org/10.1007/JHEP05(2015)065
L. Boubekeur, E. Giusarma, O. Mena, H. Ramírez, Phys. Rev. D 91(10), 103004 (2015). https://doi.org/10.1103/PhysRevD.91.103004
L. Marzola, A. Racioppi, J. Cosmol. Astropart. Phys. 2016(10), 010 (2016). https://doi.org/10.1088/1475-7516/2016/10/010
A. Racioppi, Phys. Rev. D 97(12), 123514 (2018). https://doi.org/10.1103/PhysRevD.97.123514
S. Kasuya, M. Taira, Phys. Rev. D 98(12), 123515 (2018). https://doi.org/10.1103/PhysRevD.98.123515
P.A. Ade, Z. Ahmed, M. Amiri et al., Phys. Rev. Lett. 127(15), 151301 (2021)
W. Ahmed, O. Ishaque, M.U. Rehman, Int. J. Modern Phys. D 25(03), 1650035 (2016)
D. Borah, D. Nanda, A.K. Saha, Phys. Rev. D 101(7), 075006 (2020). https://doi.org/10.1103/PhysRevD.101.075006
A. Ghoshal, N. Okada, A. Paul, Phys. Rev. D 106(9), 095021 (2022). https://doi.org/10.1103/PhysRevD.106.095021
R. Goswami, U.A. Yajnik, J. Cosmol. Astropart. Phys. 2018(10), 018 (2018). https://doi.org/10.1088/1475-7516/2018/10/018
R. Goswami, U.A. Yajnik, Nuclear Phys. B 960, 115211 (2020). https://doi.org/10.1016/j.nuclphysb.2020.115211
D. Maity, P. Saha, Class. Quant. Grav. 36, 045010 (2019). https://doi.org/10.1088/1361-6382/ab0038
M. Drees, Y. Xu, JCAP 09, 012 (2021). https://doi.org/10.1088/1475-7516/2021/09/012
J. Martin, (2003). https://doi.org/10.48550/ARXIV.ASTRO-PH/0312492
D. Boyanovsky, H.J. de Vega, R. Holman, J.F.J. Salgado, (1996). https://doi.org/10.48550/ARXIV.ASTRO-PH/9609007
L. Kofman, (1998). https://doi.org/10.48550/ARXIV.HEP-PH/9802285
G. Felder, L. Kofman, A. Linde, (1998). https://doi.org/10.48550/ARXIV.HEP-PH/9812289
G.F. Giudice, I.I. Tkachev, A. Riotto, J. High Energy Phys. 2001(06), 020 (2001). https://doi.org/10.1088/1126-6708/2001/06/020
M. Desroche, G.N. Felder, J.M. Kratochvil, A. Linde, Phys. Rev. D 71(10), 103516 (2005). https://doi.org/10.1103/PhysRevD.71.103516
A. Linde, (2005) ar**v preprint ar**v:hep-th/0503203
A. Vilenkin, Phys. Rev. D 27(12), 2848 (1983)
M.R. Haque, D. Maity, R. Mondal, J. High Energy Phys. 2023(9), 12 (2023). https://doi.org/10.1007/JHEP09(2023)012
M.R. Haque, D. Maity, Phys. Rev. D 106(2), 023506 (2022). https://doi.org/10.1103/PhysRevD.106.023506
A. Chakraborty, M.R. Haque, D. Maity, R. Mondal, ar**v preprint ar**v:2304.13637 (2023)
T. Harada, C.M. Yoo, K. Kohri, Phys. Rev. D 88, 084051 (2013). https://doi.org/10.1103/PhysRevD.88.084051
Acknowledgements
SY would like to acknowledge the Ministry of Education, Government of India, for providing fellowship. UAY acknowledges support from an Institute Chair Professorship of IIT Bombay.
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Sudhava Yadav has done all the calculation and data analysis and prepared first manuscript draft. Rajesh Goswami helped in analysis and deriving the conclusion. K. K. Venkataratnam has supervised the whole work, and Urjit A. Yajnik has given his valuable reviews to prepare the final draft.
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Yadav, S., Goswami, R., Venkataratnam, K.K. et al. Reheating constraints on modified quadratic chaotic inflation. Eur. Phys. J. Plus 139, 185 (2024). https://doi.org/10.1140/epjp/s13360-024-04979-6
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DOI: https://doi.org/10.1140/epjp/s13360-024-04979-6